Acronym | tighi | |||||||||||||||
Name | truncated great hecatonicosachoron | |||||||||||||||
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Cross sections |
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Circumradius | sqrt[(13+5 sqrt(5))/2] = 3.477092 | |||||||||||||||
Colonel of regiment |
(is itself locally convex
– uniform polychoral members:
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Face vector | 1440, 4320, 2160, 240 | |||||||||||||||
Confer |
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External links |
As abstract polytope tighi is isomorphic to quit gashi, thereby replacing the pentagrams by pentagons and decagons by decagrams, resp. replacing tigid by quit sissid and replacing sissid by gad.
Incidence matrix according to Dynkin symbol
o5o5/2x5x . . . . | 1440 | 5 1 | 5 5 | 1 5 ----------+------+----------+----------+-------- . . x . | 2 | 3600 * | 2 1 | 1 2 . . . x | 2 | * 720 | 0 5 | 0 5 ----------+------+----------+----------+-------- . o5/2x . | 5 | 5 0 | 1440 * | 1 1 . . x5x | 10 | 5 5 | * 720 | 0 2 ----------+------+----------+----------+-------- o5o5/2x . ♦ 12 | 30 0 | 12 0 | 120 * . o5/2x5x ♦ 60 | 60 30 | 12 12 | * 120
o5o5/3x5x . . . . | 1440 | 5 1 | 5 5 | 1 5 ----------+------+----------+----------+-------- . . x . | 2 | 3600 * | 2 1 | 1 2 . . . x | 2 | * 720 | 0 5 | 0 5 ----------+------+----------+----------+-------- . o5/3x . | 5 | 5 0 | 1440 * | 1 1 . . x5x | 10 | 5 5 | * 720 | 0 2 ----------+------+----------+----------+-------- o5o5/3x . ♦ 12 | 30 0 | 12 0 | 120 * . o5/3x5x ♦ 60 | 60 30 | 12 12 | * 120
o5/4o5/2x5x . . . . | 1440 | 5 1 | 5 5 | 1 5 ------------+------+----------+----------+-------- . . x . | 2 | 3600 * | 2 1 | 1 2 . . . x | 2 | * 720 | 0 5 | 0 5 ------------+------+----------+----------+-------- . o5/2x . | 5 | 5 0 | 1440 * | 1 1 . . x5x | 10 | 5 5 | * 720 | 0 2 ------------+------+----------+----------+-------- o5/4o5/2x . ♦ 12 | 30 0 | 12 0 | 120 * . o5/2x5x ♦ 60 | 60 30 | 12 12 | * 120
o5/4o5/3x5x . . . . | 1440 | 5 1 | 5 5 | 1 5 ------------+------+----------+----------+-------- . . x . | 2 | 3600 * | 2 1 | 1 2 . . . x | 2 | * 720 | 0 5 | 0 5 ------------+------+----------+----------+-------- . o5/3x . | 5 | 5 0 | 1440 * | 1 1 . . x5x | 10 | 5 5 | * 720 | 0 2 ------------+------+----------+----------+-------- o5/4o5/3x . ♦ 12 | 30 0 | 12 0 | 120 * . o5/3x5x ♦ 60 | 60 30 | 12 12 | * 120
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